67.07 is what percent of 82.19 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 82.19 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 82.19, so we can write it down as 100%=82.19.
4. We know, that x% equals 67.07 of the output value, so we can write it down as x%=67.07.
5. Now we have two simple equations:
1) 100%=82.19
2) x%=67.07
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=82.19/67.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.07 is what percent of 82.19

100%/x%=82.19/67.07
(100/x)*x=(82.19/67.07)*x       - we multiply both sides of the equation by x
100=1.2254361115253*x       - we divide both sides of the equation by (1.2254361115253) to get x
100/1.2254361115253=x
81.603601411364=x
x=81.603601411364

now we have:
67.07 is 81.603601411364% of 82.19